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Finding the Fourth Proportional to 587,474.50, 810,719.76 and 319,202.50

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Solution

The fourth proportional to 587,474.50, 810,719.76 and 319,202.50 is: 440,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,474.50 : 810,719.76 = 319,202.50 : x
  2. Step 2: Convert to fraction form
    587,474.50/810,719.76 = 319,202.50/x
  3. Step 3: Cross multiply
    587,474.50x = 810,719.76 × 319,202.50
  4. Step 4: Simplify right side
    587,474.50x = 258,783,774,191.40
  5. Step 5: Solve for x
    x = 258,783,774,191.40/587,474.50
  6. Step 6: Final answer
    x = 440,502.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.